Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Find the interval in which f(x) is increasing f(x) = ∫e x (x-1)(x-2) dx Limit is from 0 to x.

Find the interval in which f(x) is increasing
f(x) = ∫ex(x-1)(x-2) dx
Limit is from 0 to x.

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 years ago
Ans:
Hello Student,
Please find answer to your question below

f(x) = \int_{0}^{x}e^{t}(t-1)(t-2)dt
Using Newton-Leibniz formula, we have
f'(x) = e^{x}(x-1)(x-2)
f(x) is increasing in the interval
f'(x)> 0
e^{x}(x-1)(x-2)> 0
exis always +ve for all x.
(x-1)(x-2)> 0
By wavy crve method, we have
x\in R - [1, 2]

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free

10th iCAT Scholarship Test Registration Form